How many positive integers with 6 or less digits are odd or divisible by 5 and do not contain any repeated digits? Leading 0's are also not allowed.

Q: Is 69 a natural number

A:

Q: How many different 5-digit even numbers can be formed from 0, 1, 3, 4, 5, 7, and 9 if repetitions…

A: The digits used to form the 5-digit even numbers is 0, 1, 3, 4, 5, 7, and 9.

Q: If we make a list of any four consecutive Fibonacci numbers, twice the third number minus the fourth…

A:

Q: Explain why, in any set of 11 positive integers, some two integers must have the same I's digit.

A:

Q: How many 3-digit positive integers exist that when divided by 7 leave a remainder of 57

A: 3 digit positive integers start from 100 and ends with 999. Least positive 3 digit integer which…

Q: Determine how many eight-digit positive integers you can make if the integers must include at least…

A: Let us assume there are three persons A, B and C sitting beside each other. The different ways in…

Q: Arrange the digits 0,0,2,2,3,5,7,8,9 to make a 9-digit number that is divisible by…

A:

Q: How many 6-digit positive integers are divisible by 3 but not by 9 or by 10?

A: Sol:- For a number to be divisible by 3, the sum of its digits must be divisible by 3. Let's…

Q: How many six-digit even numbers are possible if the leftmost digit cannot be​ zero?

A: From the given information,Sample space = {0,1,2,3,4,5,6,7,8,9}It has been given that the leftmost…

Q: How many zeros does 25! end with?

A: A number will have trailing zeros when 5 and at least one even number are factors of it.   Also, the…

Q: How many trailing zeros are there in (1000+51X5)! In the decimal number system and 96 based number…

A: As the number of trailing zeros in a number factorial directly depends on the number of cumulative…

Q: What number has a remainder of 2 when divided by 3, a remainder of 3 when divided by 5 and a…

A:

Q: Find the number of positive integers X smaller than 12849 which have exactly 2022 positive divisors

A: Theory : Total no of divisor of a number, If its prime factorization, given by ∏i=1hpiai Where p is…

Q: Select 8 different numbers from {1, 2, 14). Show that you can find at least three pairs of numbers…

A: To show that you can find at least three pairs of numbers with the same positive difference from the…

Q: how many positive integers less than 150 with a remainder of 3 if divided by 7?

A: To find number of positive integers less than 150 with a a remainder of 3 if divided by 7

Q: How many six-digit positive integers contain exactly one one, two twos and three treor? How many…

A: First note that here six digit integer can start only with 1 or 2. If it starts with 1 the remaining…

Q: Find the number of 3-digit integers that are not divisible by 4, 5, or 6.

A: Find: The aim is to find a three digit number that are not divisible by 4,5, or 6.. Concept: The…

Q: Show that a number with 30 digits cannot have more than 100 prime factors.  

A: Prime factor: A factor of a number which is a prime number. For example: consider a number 26. The…

Q: Find the smallest integer greater than 100 that is divisible by 3 but leaves the reminder 1,5 when…

A: To find- Find the smallest integer greater than 100 that is divisible by 3 but leaves the remainder…

Q: The number 6545 can be written as a product of a pair of positive two-digit numbers, what are these…

A: solution:-The given number =65456545=5×7×11×17the two numbers are two digit numberthenthe number…

Q: Which represents equal sets?. O A EB and BEA O IAI-IBI O All numbers in Set A are in Set B. O MCNand…

A:

Q: How many five​-digit even numbers are possible if the leftmost digit cannot be​ zero?

A: To count the number of 5 digit integers satisfying the given conditions

Q: How many positive integers less than 1,000,000 have a digit sum of 5?

A: We have to find the number of positive integers 1,000,000 have a digit sum of 5. The number less…

Q: Use any method, list all the three digit numbers from the set {3,4,5,6} where there are no repeating…

A:

Q: determine the number of five-digit integers that contains the digit six exactly once

A: Explanation of the answer is as follows

Q: 1. Find the number of zeroes at the end of 100!

A: Introduction :Here, we have asked for the number of zeros at the end of 100 !

Q: let a,b,c,d,e and f be different positive integers so that a² - b² = c² - d² = e² - f² = 63. Value a…

A: Given:- a,b,c,d,e and f are different positive integers.  also a2-b2=c2-d2=e2-f2=63. To find :- the…

Q: how many odd 3-digit numbers can be formed from 0, 1, 2, 3 and 4?

A: The digits used to make the odd number are 0, 1, 2, 3, 4.

Q: The pattern​ 1, 8,​ 27, 64,​ 125, ... is a cubic pattern, what is the greatest number in this…

A:

Q: How many integers between 1 and 822 inclusive are divisible by 5 or 3?

A:

Q: How many 5–digit (decimal) integers are there with none of the digits repeated?

A: